Chapter 9: Perfect Competition

We will examine four market structures. This chapter looks at perfect competition. The next two chapter will look at what we generally call imperfect competition. Imperfect competition consists of monopoly, monopolistic competition, and Oligopoly.

What is pure competition?
 
 
 

What is Monopoly?
 
 
 

What is monopolistic competition?
 
 
 

What is Oligopoly?
 
 
 

Characteristics of Perfect Competition.

1. Many buyers and sellers.

2. Homogeneous (standardized) product. All the products of each firm is exactly the same.

3. Easy entry and exit, i.e while it is easy to enter it does not mean it is costless. The cost is just not so expensive that it prevents people from entering.

4. Firms are price takers.

What do we mean when we say a firm is a price taker? Why are they price takers?
 
 
 

What happens if the firm tries to raise its price above what everyone else charges?
 
 
 

Why doesn't the firm just lower its price to get more customers?
 
 
 
 
 

Demand for perfect competition.

Why can't the firm in perfect competition have a pricing strategy. I.e. why must it accept the price determined by the market, why is it a price taker?
 
 
 

Why is the demand curve for one firm in a perfectly competitive market perfectly elastic? Remember a perfectly elastic demand curve is horizontal.
 
 
 
 
 
 
 
 
 

It is very important to remember that, although the individual firms demand curve is horizontal, the market demand curve is downward sloping like we discussed all semester. Thus when all the firms are put together then the market demand curve will look like the negatively sloped demand curve we have grown to love. If the market wants more people to buy the good (exact same good that all the firms are producing) it must lower its price. But each firm being such a small part of the market has no influence on the price and thus accepts the market price and charges that price.

(Insert table 9-1 and figure 9-1 here)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

Notice that the price of $131 that the individual firm (it is important to remember we are talking about the individual firm ) is determined by the market place. Thus, for this particular good, the market demand curve (negatively sloped) and the market supply curve (positively sloped) intersect each other and determine the equilibrium price which in this example is $131.
 

Now go to table 9-1. Total revenue is equal to P * Q Thus if you draw the picture on figure 9-1 you will see what TR is. Marginal revenue is the change in TR divide by the change in price. Notice going from 2 unit sold to three units sold, TR goes from $262 to $393. The change is $131 (the change in output is 1 (4-3) so MR = $131). Notice it will always be $131 which is the price. So MR = P. This has to be because the extra revenue you get from selling one more unit of output (MR) is the price that the firm charges.
 

Put the picture of how the firms horizontal demand curve is derived from the supply and demand curve in the market place.
 
 
 
 
 
 
 
 
 
 
 
 
 

Notice how the market establishes the price of P and the single firm accepts that price. If the firm tries to charge a higher price then it would loose all their customers because they would go elsewhere. No need to charge a lower price because we see they can sell all they produce at the market price so why charge less.
 

So a single firm in perfect competition:

P=MR=D
 

The question we want to determine now is, how does the firm know how much output to produce in order for it to maximize profit? Remember

Profit = TR-TC

so when the difference between TR and TC is the greatest profit will be maximized. On table 10-3 the greatest difference occurs when the firm produces 9 units of output.
 

(Insert Table 9-2)
 

Profit is a maximum at $299 which occurs when the firm produces 9 units of output. This is the greatest distance between TR and TC.

If you plot TR and TC you will get the picture in Figure 9-2.
 

(Insert Figure 9-2)
 
 
 
 
 
 
 

You should be able to see that the vertical distance between TR and TC is the greatest at 9 units of output. That vertical distance is profit because TR-TC equals profit.
 

Another method to determine when profit is maximized is called the Marginal Revenue (MR) Marginal Cost (MC) approach.
 

Essentially profit is maximized when MR = MC. Once we prove that this is where profit is maximized, all we have to do is simply look at the point where MR curve intersects the MC curve. At that point we see what the output level is necessary to maximize profit.
 

We will now prove that profit is maximized when MR= MC.

It is very important to remember that when we say profit is maximized it means that profit can't be increased any more. If for some reason we show that profit may still rise then it is not at a maximum. This is often a bit confusing because we all know that we would rather see profit rise. And in fact the firm does want profit to rise (It is better to go up than down) . However, profit maximization means it can no longer rise, it is the highest it can be, it is at a maximum. Thus, no matter what the firm does in production it can't increase profit. Profit is maximized. Consequently, if you can show that profit is still rising then we know profit is not a maximum. For profit to be maximized means profit can't get any higher.
 

Suppose MR>MC,

Explain how profit can be increased by changing the amount of output produced. Suppose you produced one more unit of output explain what will happen to profit when MR>MC.
 
 
 

Remember profit is TR-TC. MR is adding to revenue and MC is adding to cost. If you increase output when MR>MC what happens?
 

Suppose MC>MR,

How can profit be increased when MC>MR?
 
 
 
 
 
 
 

You can see that the only time profit can't increase is when MR=MC.

Remember the market structure we are discussing is perfect competition. In perfect competition we said P=MR thus when we talk about profit maximization in a perfectly competitive market place we say profit is maximized when MC=P. (P=MR). In every other market structure we must say profit is maximized when MR=MC.
 

Look at table 9-3. If we were to produce 4 units of output notice MC =60 and MR = 131.

Would you as the owner of the firm produce this 4th unit of output? Why or why not?
 
 
 
 
 

On the same table explain why you would or would not produce the 5th, 6th, 7th, 8th 9th or 10th units of output.

Notice profit is maximized (can't increase anymore) upon producing the 9th unit of output. MR=131 and MC = 130. Yes they are not exactly equal but what happens to profit if produce only 8 units of output and what happens if you produce 10 units of output.

Go back to your cost curves and draw the U shaped marginal cost curve.

We know MR=P and is horizontal so now draw that. Make sure the MR curve intersects the MC curve at some point where MC is rising. You will note that even though MR=MC when MC is falling we are never concerned about producing there because the firm will not build a short run plant if they only planned on producing that small amount of output. Remember when MC is falling MP is rising which implies to large a capacity for the level of output the firm is going to produce.

Draw your graph:
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

So on the graph make sure you can explain why profit will rise (if rising not a maximum) when MR>MC and also explain why profit will rise if MR<MC to the right of the point of intersection.
 

(Insert figure 9-3)
 
 
 
 
 
 
 

Notice how this picture shows that when MR =P profit is maximized at 9 units of output. The question we want to ask is whether or not the firm is making an excess profit.
 

Is this firm (using figure 9-3) making an excess profit?

Explain why or why not and how you can tell.
 
 
 

The first question we ask is whether the price of $131 is great enough to cover the average total cost of making the 9 units of output which allows us to maximize profit.
 
 
 

What kind of profit is the firm already making when we look at ATC?
 
 
 

Thus we see the profit above a normal profit is called economic or excess profit.
 

Now just jumping ahead of ourselves for a second. In perfect competition when we have excess profit what will happen? New firms will enter the market place to get some of this excess profit. Everyone sees how successful you are and conclude they want a piece of that excess profit.

When new firms enter the market what happens to the market supply curve and the market price? Draw the original supply and demand curve and have them intersect at a price of $131. Now draw the new supply curve for the market showing people entering the market due to the excess profit.

Notice the supply curve shifts to the right. The price is lowered.

Draw picture:
 
 
 
 
 
 
 
 
 
 
 

Is there anything preventing people from entering the market? Why or why not?
 
 
 

Now suppose when new firms enter the market place the price falls to $81.

(Insert figure 9-4)
 
 
 
 
 
 
 
 
 
 

Your costs have not changed at all but now the price you can charge has been reduced to $81.

Explain why you must charge the market price of $81.
 

Now lets ask ourselves the same questions.

What is the output level where is profit maximized? Explain why.
 
 
 

At profit maximization is the price ($81) the firm receives for each unit sold great enough to recover its total cost?

On table 9-4  what is the average total cost for the profit maximizing output?

$91.67.

Notice the $81 is not enough to recover ATC.

What should you do, stay in business or shut down? Explain.

Before you explain suppose you decide to shut down when 6 units of output is the profit maximizing level. What would your AFC be?

Note if you shut down you still have to pay the AFC thus you would loose this amount of money. Now suppose you stay in business and produce 6 units of output. How much money would you loose? ($91.67-81) or $10.67. Now if you shut down you loose $16.67 if you stay in business you loose $10.67. Which would you rather do? This is called the loss minimization case. While the price is not high enough to cover your ATC that is $81<$91.67. You will notice that the price of $81 is enough to cover the Average variable cost.

What is the average variable cost at 6 units of output?
 
 
 

Look at figure 9-4. Notice the loss is only a portion of the AFC. Remember AFC is the distance between ATC and AVC. If you shut down you loose all of the AFC. By staying in business and operating at a loss you only loose a portion of the AFC.

Why do you suppose you can stay in business in the situation when you do not recover all of your ATC?

Remember part of ATC is a normal profit and returns to the entrepreneur

When we looked at total cost we included implicit costs. Now part of that was a normal profit. Suppose your normal profit was higher than you would be willing to accept. Now as a result of the price declining you will not draw a normal profit but you can still pay yourself a salary. Your salary may be less than you hoped for but by staying in business you hope to turn things around and get your normal profit back.
 

Now look at figure 9-5 and table 9-4. Notice if the price is $71 rather than $81. This occurred because when new firms entered the market the supply increased enough to drive the price down to $71. First determine where profit is maximized. It is where P = MC. Notice no matter what level of output the firm produces ATC and AVC cost is above the P. Thus at this point the firm is not making enough on each unit sold (at a price of $71) to even pay its variable costs (usually workers). Thus if you stay in business you will loose more than your AFC. You will loose all of your AFC plus a portion of your AVC. Thus it is cheaper for you to shut down and produce nothing and only loose your AFC.
 

Now lets finally figure out how we get the supply curve.

(Insert figure 9-6)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

Notice what happens when firms make excess profit. New firms enter the market place to try and capture that excess profit. As new firms enter and compete the price is lowered.
 

On that picture suppose the price was initially P5.

Profit is Maximized where P5 = MC at point e.

Why do we make an economic profit?
 
 
 

What happens when other people see this economic profit we are making? Explain what happens to the market supply curve and the market price. Draw the diagram for supply and demand.
 
 
 
 
 
 
 
 
 
 
 

Suppose the price falls to P4. The new equilibrium is now at point d.

Notice at this point the price received is equal to the minimum point of the ATC curve.

What do we know about the profits, to the firm, at this point?
 
 
 

This point is called the break even point.
 

Now suppose firms keep on entering the market and the price drops (as a result of supply increasing) to P3. The equilibrium point occurs at point c. Again the firm will stay in business rather than shut down.

Explain why the firm stays in business at point c?
 

Suppose the price falls to P2.

How much will the firm loose at this point if it stays in business?
 

How much will the firm loose at this point if it shuts down?
 

This is called the shut down point because for any price below P2 the firm will shut down.

Why will the firm shut down at a price of P1?
 
 
 
 
 

Remember that the supply curve shows the positive relationship between price and quantity supplied. The higher the price the more a firm will supply. On figure 9-6 when price is P5 the firm will supply Q5 units of output to maximize profit. When price is P4 in order to maximize profit the firm will supply Q4 units of output, when price is P3 the firm maximizes profit when it supplies Q3 units of output and when the price is P2 it supplies Q2 units of output. If price is less than P2 it shuts down and supply is zero. Thus the marginal cost curve above the minimum average variable cost curve is the supply curve because it shows the relationship between quantity supplied and price.
 

This is just one supply curve for one firm in a perfectly competitive industry. If we horizontally sum all of the individual firms supply curve we will get the market supply curve. But remember the firms supply curve is its Marginal cost curve, thus we sum all the marginal cost curves to get the market supply curve.
 

Thus the market supply curve is positively sloped and the market demand curve is negatively sloped and when they intersect in the short run equilibrium price and quantity will occur.


Long Run Supply Curve

We will now show how we get the long run supply curve. We can't just say it is the marginal cost curve above the minimum AVC because now all the inputs are variable thus can't look at marginal cost the same as we did in the short run. Here is how we get the long run supply curve.

In the long run all the inputs of the firm can change thus there are no fixed inputs. The plant size in the long run can change. This could not happen in the short run. There are long run cost curves which we discussed. But there is only a long run total cost curve because there are no variable inputs thus no variable cost. Profit is maximized where MC equals marginal revenue.
 

As we discussed this we must be aware of the assumptions we are making.

Insert Figure 9-9

Suppose demand declined instead of increasing.  This forces the price and MR to fall.  This causes profit to decline in the industry thus firms leave.  When firms leave supply declines to S3 and price goes back up to recover ATC.

 

In both of these examples note that when the firm increased or decreased the two equilibrium points of the new supply and demand when connected formed a horizontal supply curve.

 

If you connect these two equilibrium points on the demand and supply curves that is the long run supply curve.  Notice it is horizontal.  In a constant cost industry the long run supply curve is horizontal.  The reason is that when firms expand the prices of the resources they use in production does not change.

Why don’t input prices change when the industry expands?

Because we are in a perfectly competitive input market and this industry is just a small part of all of the industries that use the input.  Thus if they increase demand for the inputs because they are expanding it has not effect because there demand is tiny compared to the total demand for that resource.

 

Figure 9-10

 

Shows the Long run supply for a constant cost industry.

 

Long run supply for an increasing cost industry.

 

An increasing cost industry means that when the industry expands it bids the price up for the inputs.  This is a much more realistic model.  Thus when the industry expands costs rise and the entire cost curve shifts up.  In the unrealistic constant cost industry model the cost curves did not shift when the market expanded.

 

So to draw this start off exactly as before with the long run equilibrium condition. 

(Figure 9-9)

So try to draw this.  Remember pictures are side by side.

First draw the demand and supply curve.  The price established there is MR.  Now since in equilibrium the MR = ATC at its minimum point.  Thus just a normal profit.  Now again for some reason demand increased.  Draw the new demand curve.  Notice price rises thus now there is an excess profit.  With this excess profit new firms enter the industry but this time they drive input prices up.  But with this excess profit new firms enter and supply increases which put pressure on prices to fall again.  But this time since input prices rise the cost curves shift up.  Thus the new supply curve does not increase all the way to the old price and we see the new equilibrium price is a little higher.  We connect these two equilibrium point and we see that we get a positively sloped long run supply curve.

 

Figure 9-11

 

See if you can show why the long run supply curve for a decreasing cost industry is negatively sloped.  Go through the entire process except now when the industry expands input prices actually fall and the cost curves actually shift down.